Abstract

In this article, we investigate the existence and uniqueness of solutions for boundary value problem (BVP) of fractional order difference equations (FODE) of the form,,where s ∈ [0, k]N0, f : [υ − 2, υ − 1, …, υ + k]Nυ−2 × R [0, + ∞] is a continuous function ψ, φ : C ([υ − 2, υ + k]Nυ−2) → R are given functions and . Existence and uniqueness of solutions are established by the Brouwer fixed point theorem and contraction mapping principle.

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